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Mekhanik [1.2K]
3 years ago
11

What is the center of the circle that has a diameter whose endpoints are (4, 1) and (-6, 5)?

Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

(-1,3)

Hope this helps

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Answer:

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Step-by-step explanation:

From the given diagram, we have;

∠JIH = 105° Given

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Therefore, we have;

∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line

∴ ∠JID + ∠JIH = 180° by definition of supplementary angles

∠JID + 105° = 180° by substitution property

∠JID = 180° - 105° = 75° by angle subtraction postulate

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∠IJD = 180° - (∠IDJ + ∠JID)  = 180° - (39° + 75°) = 66° angle subtraction postulate

∠IJD = 66°

∠x° ≅ ∠IJD, by vertically opposite angles

∴ ∠x° = ∠IJD = 66° by the definition of congruency

∠x° = 66°  

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